I'm so confused...

[tortillahead]

Ok, so I was on the internet just browsing around, when I found a little thing on Wikipedia. It proved that 0.9... equals 1. (Come to think of it, I remember that from Algebra 1...) But it doesn't make sense to me! If I have 99.9... percent of a sheet of paper, do I magically have 100 percent?

Does it apply to other numbers, like does 68.9... equal 69?

EDIT

Here's the page:
http://en.wikipedia.org/wiki/0.999...

[helios]

I like the digit manipulation proof. Easy to understand:
x=0.(9) (there are infinitely many 9s after the decimal point)
10x=9.(9) (inf-1=inf)
10x-x=9.(9)-0.(9) (we'll strip the fractional part)
9x=9
x=9/9
x=1

People have always had problems understanding infinitesimals; just look at Zeno's paradoxes. In the Real set, there are no two numbers that are the closest to one another. There's as many real numbers between any two real numbers as there are between -inf and +inf, so it's impossible to get so close to a number that there are no more numbers in between without actually being the other number.

And yes, the same applies to any other number.
x±0.(9)=x±1

[Disch]

The way it was explained to me:

1/3  =  0.33_
 *3      *3
_____   _____
  1  =  0.99_

[tortillahead]

thanks